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A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Jul2021, Vol. 380, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- Typical areas of application of explicit dynamics are impact, crash test, and most importantly, wave propagation simulations. Due to the numerically highly demanding nature of these problems, efficient automatic mesh generators and transient solvers are required. To this end, a parallel explicit solver exploiting the advantages of balanced octree meshes is introduced. To avoid the hanging nodes problem encountered in standard finite element analysis (FEA), the scaled boundary finite element method (SBFEM) is deployed as a spatial discretization scheme. Consequently, arbitrarily shaped star-convex polyhedral elements are straightforwardly generated. Considering the scaling and transformation of octree cells, the stiffness and mass matrices of a limited number of unique cell patterns are pre-computed. A recently proposed mass lumping technique is extended to 3D yielding a well-conditioned diagonal mass matrix. This enables us to leverage the advantages of explicit time integrator, i.e., it is possible to efficiently compute the nodal displacements without the need for solving a system of linear equations. We implement the proposed scheme together with a central difference method (CDM) in a distributed computing environment. The performance of our parallel explicit solver is evaluated by means of several numerical benchmark examples, including complex geometries and various practical applications. A significant speedup is observed for these examples with up to one billion of degrees of freedom and running on up to 16,384 computing cores. • A parallel explicit solver is developed for elasto-dynamic problems. • Fully automatic octree mesh generation of complex geometry. • Developing lumped masses of octree elements in the SBFEM to avoid hanging nodes. • Identifying and using unique patterns of octree elements to increase efficiency. • Good scalability and parallel efficiency up to 16K cores and 1 billion DOFs. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 380
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 149868367
- Full Text :
- https://doi.org/10.1016/j.cma.2021.113811